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Solving analytic differential equations in polynomial time over unbounded domains

dc.contributor.authorBournez, Olivier
dc.contributor.authorGraça, Daniel
dc.contributor.authorPouly, Amaury
dc.date.accessioned2012-04-13T08:18:35Z
dc.date.available2012-04-13T08:18:35Z
dc.date.issued2011
dc.description.abstractIn this paper we consider the computational complexity of solving initial-value problems de ned with analytic ordinary diferential equations (ODEs) over unbounded domains of Rn and Cn, under the Computable Analysis setting. We show that the solution can be computed in polynomial time over its maximal interval of de nition, provided it satis es a very generous bound on its growth, and that the function admits an analytic extension to the complex plane.por
dc.identifier.otherAUT: DGR01772;
dc.identifier.urihttp://hdl.handle.net/10400.1/1010
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherF. Murlak and P. Sankowskipor
dc.relation.ispartofseriesLecture Notes in Computer Science ARCoSS (Advanced Research in Computing and Software Science);6907
dc.relation.publisherversionhttp://www.springerlink.com/content/j4uj170467447676/por
dc.titleSolving analytic differential equations in polynomial time over unbounded domainspor
dc.typebook part
dspace.entity.typePublication
oaire.citation.endPage181por
oaire.citation.startPage170por
oaire.citation.titleProceedings of the 36th International Symposium on Mathematical Foundations of Computer Science (MFCS 2011)por
person.familyNameGraça
person.givenNameDaniel
person.identifier.ciencia-id2D11-56DE-3F11
person.identifier.orcid0000-0002-0330-833X
person.identifier.ridD-2335-2011
person.identifier.scopus-author-id8882791800
rcaap.rightsopenAccesspor
rcaap.typebookPartpor
relation.isAuthorOfPublicationba0c1461-5d2d-4f06-b648-df4a1a505bdf
relation.isAuthorOfPublication.latestForDiscoveryba0c1461-5d2d-4f06-b648-df4a1a505bdf

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